Upper-bound estimates for the average probabilities of integer differentials of round functions of certain block ciphers

The upper bounds for the average probabilities of integer round differentials are obtained for the composition of key adder, substitution block, and shift operator of special structure. The parameters on which these estimates depend and the conditions that minimize these estimates are determined. Th...

Full description

Saved in:
Bibliographic Details
Published inCybernetics and systems analysis Vol. 48; no. 5; pp. 701 - 710
Main Authors Kovalchuk, L. V., Kuchinska, N. V.
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.09.2012
Springer
Springer Nature B.V
Subjects
Algorithms
Artificial Intelligence
Blocking
Control
Cryptography
Cybernetics
Differential equations
Differentials
Estimates
Integer programming
Integers
Mathematics
Mathematics and Statistics
Operators
Probability
Processor Architectures
Software Engineering/Programming and Operating Systems
Statistical distributions
Studies
Systems analysis
Systems Theory
Upper bounds
Ukraine
integer differentials
block cipher
difference cryptanalysis
Online AccessGet full text

Cover

More Information
Summary:The upper bounds for the average probabilities of integer round differentials are obtained for the composition of key adder, substitution block, and shift operator of special structure. The parameters on which these estimates depend and the conditions that minimize these estimates are determined. The statistical distribution of these parameters is obtained.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-012-9450-7